What is the Greatest Common Factor of 72424 and 72444?

Greatest common factor (GCF) of 72424 and 72444 is 4.

GCF(72424,72444) = 4

We will now calculate the prime factors of 72424 and 72444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72424 and 72444.

How to find the GCF of 72424 and 72444?

We will first find the prime factorization of 72424 and 72444. After we will calculate the factors of 72424 and 72444 and find the biggest common factor number .

Step-1: Prime Factorization of 72424

Prime factors of 72424 are 2, 11, 823. Prime factorization of 72424 in exponential form is:

72424 = 2³ × 11¹ × 823¹

Step-2: Prime Factorization of 72444

Prime factors of 72444 are 2, 3, 6037. Prime factorization of 72444 in exponential form is:

72444 = 2² × 3¹ × 6037¹

Step-3: Factors of 72424

List of positive integer factors of 72424 that divides 72424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212

Step-4: Factors of 72444

List of positive integer factors of 72444 that divides 72424 without a remainder.

1, 2, 3, 4, 6, 12, 6037, 12074, 18111, 24148, 36222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72424 and 72444. The biggest common factor number is the GCF number.
So the greatest common factor 72424 and 72444 is 4.

Also check out the Least Common Multiple of 72424 and 72444